Page:The Rhind Mathematical Papyrus, Volume I.pdf/224

208 used a method of trial, had rules, 39, tables, 40; generalized from particular cases. 40; their mistakes, mistakes of copying in the Rhind papyrus, 40; their incorrect methods, 41; correction by taking away $1/10$, 42, 94; not merely practical, many problems practical only in form, 42; their scientific interest shown in the Edwin Smith papyrus, 43; their mathematics not a study of mystery, 15-16.

Eisenlohr, numbering the problems, 71; discussion of Problem 43, 88.

Epagnomenal days, 43.

False position, 10-13, 164, 170; with the Arabs, 10, 13; in Problem 35, 11; in Problem 40, 12; the nature of quantities kept in mind by it, 7, 11. "Find" word put in with the more diﬁicult cases of the division of 2 by odd numbers, 20; "ﬁnding" used in expressions stating multiplications of the second kind, 5.

Finger, ¼ of a palm, 34, 167.

Fractions, unit, or reciprocal numbers, 3; complementary fractions, 7; uneven fractions, 25; method of applying fractions to a particular number 7-10; views of Rodet, Hultsch, Peet, 9; method used once for division and once for multiplication, but generally for addition or subtraction, 9, 79; multiplication of fractions. two forms of statement, 100; ⅔ halved to get ⅓, 4; the reciprocal of $undefined undefined/1$, 4, 7; ⅔ of a fraction, rule, 25; "Horus eye" fractions, 31, see Measures of capacity; expression of a quantity in a series of unit fractions, the series called sorites' by Sylvester, 142, 146; the fractions called quantièmes by P.Tannery, 149.

Gardiner calls the khet a rod, 33. Geometrical ﬁgures, plan of a ﬁeld, 187; ﬁgures on a Babylonian tablet, 181. Geometry, origin according to Herodotus, 127; of the great pyramid, 131.

Golenishchev papyrus, 43, 93, 178-179, 187-188. Grifiith, theory about 94, 7. Gunn, about⅓, 4 and 184; expression for division, 5; for taking a reciprocal, 6; on the way of writing the third step in the division of 2 by an odd number, 17; on uneven fractions, 25; calls the hekat a gallon, 31, 182; theory in regard to meret, 37, 183; interpretation of Problems 54 and 55. 96, of Problem 80, 113; on enigmatic writing, 118.

'Hau', same as ‘aha‘, 25; hau-reckoning, 43. Hekat, hinu, 31; see Measures of capacity. Herodotus on Egyptian geometry, 127. Heptagon, regular, construction by Réber, examined by Hamilton, 131. Hieratic, hieroglyphic, 1. "Horus eye" fractions, 31; mythological tradition, 175; see Measures of capacity. Hultsch. views on applying fractions to a particular number, 9; on the method of dividing 2 by odd numbers, 15. Hyksos kings, 1, 43.

Khar, 32; see Measures of capacity. Khet, 33; see Measures of length.

Leonardo of Pisa. problem of geometrical progression. 112, 134; process of separating 2 divided by an odd number into unit fractions, 134, 150.

Loria, on the method of dividing 2 by odd numbers, 15.

Measures of area, setat, cubit-strip, 33: method of writing expressions for an area, 33.

Measures of capacity, hekat, henu, ro, "Horus eye" fractions, 31; Peet calls the hekat a bushel, Gunn calls it a gallon, 31: hînu represented by certain vases, 31; double hekat, quadruple hekat, khar, 32; method of writing expressions for quantity, 32; tables of